the sum of two numbers is 103. If the greater number is divided by the smaller number the quotient is 2 and the remainder is 10 find the number​

Answers

Answer 1

9514 1404 393

Answer:

  31 and 72

Step-by-step explanation:

Let x be the smaller number and y be the larger number. Then we have ...

  x + y = 103 . . . . . sum is 103

  y = 2x +10 . . . . . y/x is 2 remainder 10

Substituting for y, we get ...

  x + (2x +10) = 103

  3x = 93

  x = 31

  y = 103 -31 = 72

The two numbers are 31 and 72.


Related Questions

Which function is equivalent to g\x)= x + 15x -547
Help plzz

Answers

B is equivalent to the equation

the answer would be B.

How does the value of the digit 2 in the number 32,000 compare with the value of the digit 2 in the number 26,000?

Answers

Answer: See explanation

Step-by-step explanation:

We should note that the value of the digit 2 in the number 32,000 is 2 thousand. The value of the digit 2 in the number 26,000 is 20 thousand = 20,000.

We can simply say that the value of the digit 2 in 26000 is ten times the value of the digit 2 in 32000.

3. 1/2 + 1 1/3 Please answer quick!!!!!!!!!!!!!!!!!! Step by step explanation with answer!

Answers

Answer: 1/2+11/3 = 4.1*6

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

2 and 3 both have an LCM of 6, so in order to combine them you have to make the denominators 6. To do that, you multiply 1/2 by 3, and 1/3 by 2. When you do that, you get 3/6 and 1 2/6. When you add those, you get 1 5/6.

philipe has 5 1/4 yards of wire. if he uses 4 7/8 yards to make a fence. how much will he have left HURRYYY

Answers

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 1/8 yards

Please help will give Brain!!

Answers

yes i think because i think so

Answer:

Yes

Step-by-step explanation:

Their sides are similar proportionally and the 60 degrees + 120 degrees makes 180 degrees meaning the OTHER angles match

Which expression is equivalent to |x| > 11?
A) x > –11 and x < 11
B) x < –11 or x > 11
C) x > –11 or x < 11
D) x < –11 and x > 11

Please help me

Answers

Answer:

D

Step-by-step explanation:

Inequalities of the type have | x | > a have solutions of the form

x < - a , x > a

Thus

| x | > 11

x < - 11 and x > 11

The answer to the question.

Answers

Answer:

0-4=-4  -4-9=-13

someone please help, i don't understand

Answers

y=-2x+0 haahahaha hope i helped i think

Answer:

Y = [tex]\frac{-3}{2}[/tex] x + 4

Step-by-step explanation:

This polygon has a perimeter of 39 centimeters. What is the length of side A?

Answers

Answer: i think its 7 cm pretty sure

7cm, it reflects the other side

how do you figure out the y-intercept on this graph?

Answers

Look at the y-axis. Wherever the line is crossing the y-axis is where your y-intercept is. For that specific graph, the y-intercept is 75.

Answer:

75

Step-by-step explanation:

Look for where the line passes through the y-axis. If the line doesn't go through the y-axis, like in this case, look for where the line starts on the y-axis.

PLEASE ANSWER... :). Im not the best at math and would apreciate the help

Answers

-Well, if Jarons’ age equals y, and Dawn is 5 years younger since it says in 5 years she’d be Jarons’ age, the expression would be y - 5 to get Dawns’ age.

-Answer-
y - 5

(Hope this helped ^^)

Answer: Y-5= Dawn age

Step-by-step explanation:

If a 5-pound bag of potatoes costs $5.25 , then how much would 7 pounds cost?

Answers

Answer:

7.35

Step-by-step explanation:

5 pounds -> 5.25

1 pound -> 1.05

7 pounds-> 7.35

what is the volume of the figure

Answers

Answer: 4,896 + 480 = 5376

Step-by-step explanation:

Answer:

480 = small rectangular prism on right Rectangle on left = 4896 so                480 + 4896 = 5376

There are two bags full of coloured counters.
The first bag has red and blue counters in the ratio of 4:9
(a) Find the fraction of the counters in this bag that are blue.

Answers

the answer would be 9/13 because the total ratio is 4+9=13 and there’s 9 blue ones so 9/13.

The table shows the result of spinning a color spinner (purple, blue, white and green) in two different experiments.

image

Using the results in the table, what is the probability of a spinner landing on purple (P) in Experiment A and a spinner landing on green (G) in Experiment B?

A.
image

B.
image

C.
image

D.
image

Answers

Answer:

The answer is 3/100 I hope this helps :)

Step-by-step explanation:

the answer is 3/100

Mari starts off with $1 in her piggy bank. Each week, Mari's dad adds $3 to Mari's
piggy bank. Write an explicit equation, a(n), for this sequence that represents how
much money Mari has each week.

Answers

Answer:

y=3x+1

Step-by-step explanation:

x is the weeks and y is the final product

Answer:

1+(3x7) she has 22 dollars

Step-by-step explanation:

what expression has a value of 2/3

Answers

Answer:

(8 + 24) ÷ (12 x 4)

Step-by-step explanation:

Answer:

(8 + 24)  ÷ ( 12 x 4 )

Step-by-step explanation:

32 / 48 = 2/3

Plzzz help! Answer quick

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer:

The Area of the given figure is 6 inch²

Step-by-step explanation:

For a given Trapezoid

side a = 1 ½ = 1.5 inch

side b = 2½ = 2.5 inch

height (h) = 3 inch

Now, Area of Trapezoid

Formula:

A = ½ (a + b) × h

A = ½ (1.5 + 2.5) × 3 inch

A = ½ × 4 × 3 inch

A = 2 × 3 inch

A = 6 inch²

Thus, The Area of the given figure is 6 inch²

-TheUnknownScientist


(3x +- 5)(x +- 11)º what is the measure of dcb

Answers

Its 8 when multiply the two equations

Streets in the city can be represented by the equations in the given table. Use the equations to find the type of quadrilateral that the streets form. Justify your answer.

Answers

Answer:

It is a rhombus.

Step-by-step explanation:

We have the four equations:

3x - y = -4

3y - x = 4

3y = x + 12

y = 3*x - 4

First, we need to write all of them in slope-intercept form, so they are easier to read.

We get:

y = 3*x+ 4

y =  (1/3)*x + 4/3

y = (1/3)*x + 12/3

y = 3*x - 4

First, we can see that:

y = 3*x+ 4 and y = 3*x - 4

are parallel lines, because they have the same slope.

y =  (1/3)*x + 4/3 and y = (1/3)*x + 12/3  also are parallel lines, because they have the same slope.

Then this is a parallelogram.

Now, here we have two slopes, 3 and 1/3.

Remember that for a line y = a*x + b

A perpendicular line would be written as:

y = -(1/a)*x + c

From this we can see that there are no perpendicular lines in our set of lines.

Then this can not be a square nor a rectangle.

It can not be a trapezoid, because we would need 3 different slopes to make a trapezoid, and here we have only two.

Then this can only be a rhombus.

Below you can see the graph of the four lines to see which quadrilateral they form.

Decide whether ABCD with vertices A (3,8) B (6,5) C (5,4) , and D (2,7) is a rectangle a rhombus or a square

Answers

Given:

The vertices of the quadrilateral ABCD are A(3,8), B(6,5), C(5,4), and D(2,7).

To find:

Whether the given quadrilateral is a rectangle, a rhombus or a square.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the side lengths are:

[tex]AB=\sqrt{\left(6-3\right)^2+\left(5-8\right)^2}[/tex]

[tex]AB=\sqrt{\left(3\right)^2+\left(-3\right)^2}[/tex]

[tex]AB=\sqrt{9+9}[/tex]

[tex]AB=\sqrt{18}[/tex]

[tex]AB=3\sqrt{2}[/tex]

Similarly,

[tex]BC=\sqrt{\left(5-6\right)^2+\left(4-5\right)^2}=\sqrt{2}[/tex]

[tex]CD=\sqrt{\left(2-5\right)^2+\left(7-4\right)^2}=3\sqrt{2}[/tex]

[tex]AD=\sqrt{\left(2-3\right)^2+\left(7-8\right)^2}=\sqrt{2}[/tex]

The length  of diagonals are:

[tex]AC=\sqrt{\left(5-3\right)^2+\left(4-8\right)^2}=2\sqrt{5}[/tex]

[tex]BD=\sqrt{\left(2-6\right)^2+\left(7-5\right)^2}=2\sqrt{5}[/tex]

From the above calculation, we conclude that the given quadrilateral has two pairs of congruent opposite sides and equal diagonals.

Opposite sides of a rectangle are equal and its diagonals are also equal.

Therefore, the given quadrilateral ABCD is a rectangle.

Simplify 2−2m−3n0. Write your answer using only positive exponents.

Answers

Answer:

-2m-1

Step-by-step explanation:

Jill and Gary share £63 in the ratio 2:5
Work out how much each person gets.

Answers

Answer:

Jill gets €18 Gary gets €45.

Step-by-step explanation:

First you add the two numbers of the ratio together. 2+5=7. Then you divide the constant, 63, by the total of the ratio, 7. 63/7=9. Then you multiply each number of the ratio by the quotient. 2 x 9= 18. 5 x 9= 45.

2
3
6 7 8 9 10
Question
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of
the coins is $1.30. How many nickels and how many dimes are in the jar?
The jar contains
nickels and
dimes.

Answers

9514 1404 393

Answer:

14 nickels6 dimes

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

What are the domain and range of the function represented by the set of
ordered pairs?
{(-15,-5), (-12,-4), (3, 1), (15,5)}

Answers

D: (-15,-12,3,15)
R: (-5,-4,1,5)

If 3x – 3 = 6, then x=

Answers

Answer:

x=3

Step-by-step explanation:

3x - 3 = 6

      +3   +3

3x = 9

divide both sides by 3

x = 3

Hope this Helps!!!

−5x + y = −2 −3x + 6y = −12 solved by substitution please work so i can understand

Answers

Answer:

x=0 and y= -2

Step-by-step explanation:

−5x+y=−2for y:

−5x+y=−2

−5x+y+5x=−2+5x(Add 5x to both sides)

y=5x−2

5x−2foryin−3x+6y=−12:

−3x+6y=−12

−3x+6(5x−2)=−12

27x−12=−12(Simplify both sides of the equation)

27x−12+12=−12+12(Add 12 to both sides)

27x=0

x=0

Substitute0 for X in y=5x−2:

y=5x−2

y=(5)(0)−2

y=−2(Simplify both sides of the equation)

Make y subject:
y = -2 + 5x
Sub into other equation as y:
-3x + 6(-2 + 5x) = -12
-3x -12 + 30x = -12
27x = 0
x = 0
Sub in X to find Y:
-5(0) + y = -2
y = -2

Help me I will award the person that’s correct

Answers

46 meters in total i think

5. Solve the system, show all work. (3 points)
+
s y=x+7
y = 6x + 2
Solution:
How do you solve this

Answers

Step-by-step explanation:

y=x+7........eqni

y=6x+2.....eqnii

putting the value of x in eqnii

y=6x+2

or, x+7=6x+2

or, 7-2=6x-x

or 5= 5x

hence,x=1

sbstutuung the value of x in eqni,

y= x+7

=1+7

=8

hence the value of y is 8

Describe the graph of y = 3x2 and compare it with the graph of y=x^2.

Answers

Answer:

y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.

Step-by-step explanation:

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